正交面齿轮传动中齿面曲率研究

Study on Tooth Surface Curvature for Orthogonal Face-Gear Drives

齿面曲率对齿轮传动的性能有重要影响 ,而有关面齿轮传动的曲率还没有得到充分的研究。文中利用微分几何原理推导了面齿轮传动的齿面主曲率与主方向 ,由此得出面齿轮传动中诱导法曲率的两个主值 ;开发了相应的程序 ;进行了实例计算 ;分析了传动中的主要参数对曲率的影响 。

The tooth surface curvature has important influence on the capability of gear transmission, and it is an important parameter to weigh the quality of gear transmission. Thus, to study tooth surface curvature is significant. However, from the published information, the curvature of face gear drives hasn′t been well studied until now. Based on the knowledge of differential geometry, a method for calculating principal curvature and principal directions for face gears is established, and thus the principal values of induced normal curvature are acquired. Corresponding programs are developed. Examples are given and the influence on curvature of main parameters is analysed. The calculating results are useful for strength analysis and calculations of face gear drive.